GCD of 312, 464, 625, 401 Calculator

Given Input numbers are 312, 464, 625, 401

In the factoring method, we have to find the divisors of all numbers

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

GCD of numbers is the greatest common divisor

So, the GCD (312, 464, 625, 401) = 1.

Given numbers are 312, 464, 625, 401

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 401 are 401

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 312, 464, 625, 401

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(312, 464) = 18096

GCD(312, 464) = ( 312 x 464 ) / 18096

= 312 / 464

= 312

Step2:

LCM(8, 625) = 5000

GCD(8, 625) = ( 8 x 625 ) / 5000

= 8 / 625

= 8

Step3:

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

= 1 / 401

= 1

So, Greatest Common Divisor of 312, 464, 625, 401 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 545, 498, 776
• GCD of 930, 292, 968, 134
• GCD of 939, 531, 720, 804
• GCD of 857, 376, 852, 442
• GCD of 169, 160, 653, 834

Given numbers are 312, 464, 625, 401
The greatest common divisor of numbers 312, 464, 625, 401 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 464, 625, 401 is 1.

1. What is the GCD of 312, 464, 625, 401?

GCD of given numbers 312, 464, 625, 401 is 1

2. How to calculate the greatest common divisor of 312, 464, 625, 401?

We can find the highest common divisor of 312, 464, 625, 401 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 312, 464, 625, 401 i.e 1.

3. How can I use the GCD of 312, 464, 625, 401Calculator?

Out the numbers 312, 464, 625, 401 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.